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Finding the Fourth Proportional to 202,908.80, 280,011.60 and 112,257.68

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Solution

The fourth proportional to 202,908.80, 280,011.60 and 112,257.68 is: 154,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,908.80 : 280,011.60 = 112,257.68 : x
  2. Step 2: Convert to fraction form
    202,908.80/280,011.60 = 112,257.68/x
  3. Step 3: Cross multiply
    202,908.80x = 280,011.60 × 112,257.68
  4. Step 4: Simplify right side
    202,908.80x = 31,433,452,589.09
  5. Step 5: Solve for x
    x = 31,433,452,589.09/202,908.80
  6. Step 6: Final answer
    x = 154,914.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.